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23422422230240 = 25511211093109063
BaseRepresentation
bin1010101001101011101010…
…01010000010010011100000
310001221011100212200110120112
411110311311022002103200
511032223110042331430
6121452040124030452
74635133313005445
oct524656512022340
9101834325613515
1023422422230240
117510436800600
122763509992428
13100b9568c9b17
145ad9191a79cc
152a940e707195
hex154d752824e0

23422422230240 has 144 divisors (see below), whose sum is σ = 60829328748384. Its totient is φ = 8516398556160.

The previous prime is 23422422230219. The next prime is 23422422230243. The reversal of 23422422230240 is 4203222422432.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 23422422230197 and 23422422230206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23422422230243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 214705949 + ... + 214815011.

It is an arithmetic number, because the mean of its divisors is an integer number (422425894086).

Almost surely, 223422422230240 is an apocalyptic number.

23422422230240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23422422230240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30414664374192).

23422422230240 is an abundant number, since it is smaller than the sum of its proper divisors (37406906518144).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23422422230240 is a wasteful number, since it uses less digits than its factorization.

23422422230240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120193 (or 120174 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 32.

Adding to 23422422230240 its reverse (4203222422432), we get a palindrome (27625644652672).

The spelling of 23422422230240 in words is "twenty-three trillion, four hundred twenty-two billion, four hundred twenty-two million, two hundred thirty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 121 160 176 220 242 352 440 484 605 880 968 1210 1760 1936 2420 3872 4840 9680 11093 19360 22186 44372 55465 88744 109063 110930 122023 177488 218126 221860 244046 354976 436252 443720 488092 545315 610115 872504 887440 976184 1090630 1199693 1220230 1342253 1745008 1774880 1952368 2181260 2399386 2440460 2684506 3490016 3904736 4362520 4798772 4880920 5369012 5998465 6711265 8725040 9597544 9761840 10738024 11996930 13196623 13422530 17450080 19195088 19523680 21476048 23993860 26393246 26845060 38390176 42952096 47987720 52786492 53690120 65983115 95975440 105572984 107380240 131966230 191950880 211145968 214760480 263932460 422291936 527864920 1055729840 1209835859 2111459680 2419671718 4839343436 6049179295 9678686872 12098358590 13308194449 19357373744 24196717180 26616388898 38714747488 48393434360 53232777796 66540972245 96786868720 106465555592 133081944490 146390138939 193573737440 212931111184 266163888980 292780277878 425862222368 532327777960 585560555756 731950694695 1064655555920 1171121111512 1463901389390 2129311111840 2342242223024 2927802778780 4684484446048 5855605557560 11711211115120 23422422230240